Atkin-Lehner |
5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10075a |
Isogeny class |
Conductor |
10075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-292248201171875 = -1 · 59 · 136 · 31 |
Discriminant |
Eigenvalues |
0 -1 5+ -2 0 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6967,-793782] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1098:1] [152:1937:1] |
Generators of the group modulo torsion |
j |
2393198821376/18703884875 |
j-invariant |
L |
4.2527942279009 |
L(r)(E,1)/r! |
Ω |
0.27171746449348 |
Real period |
R |
3.9128826664024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90675w2 2015a2 |
Quadratic twists by: -3 5 |